All categories

3 years ago

Evaluate 0.3y + y/z when y = 10 and z = 5

Mathematics

1 answer:

maxonik [38]3 years ago

4 0

Answer:

I think the answer is 5

Step-by-step explanation:

3+2=5

You might be interested in

Make r the subject of the formula

zloy xaker [14]

Answer:

$r=\frac{-a+p}{a+p}$

Step-by-step explanation:

$-pr+p=ar+a$

$-ar-pr+p=a$

$-ar-pr=a-p$

$r(-a-p)=a-p$

$r=\frac{-a+p}{a+p}$

3 0

2 years ago

Read 2 more answers

The surface area of a cylinder is increasing at a rate of 9 pi square meters per hour. The height of the cylinder is fixed at 3

Alekssandra [29.7K]

Answer:

$9\pi \text{ cubic meters per hour}$

Step-by-step explanation:

Since, the surface area of a cylinder,

$A= 2\pi r^2 + 2\pi rh$ ................(1)

Where,

r = radius,

h = height,

If $A= 36\pi\text{ square meters}, h = 3\text{ meters}$

$36\pi = 2\pi r^2 + 2\pi r(3)$

$18 = r^2 + 3r$

$\implies r^2 + 3r - 18=0$

$r^2 + 6r - 3r - 18 = 0$ ( by middle term splitting )

$r(r+6)-3(r+6)=0$

$(r-3)(r+6)=0$

By zero product property,

r = 3 or r = - 6 ( not possible )

Thus, radius, r = 3 meters,

Now, differentiating equation (1) with respect to t ( time ),

$\frac{dA}{dt}= 4\pi r\frac{dr}{dt} +2\pi(r\frac{dh}{dt} + h\frac{dr}{dt})$

∵ h = constant, ⇒ dh/dt = 0,

$\frac{dA}{dt} = 4\pi r \frac{dr}{dt} +2\pi h \frac{dr}{dt}$

We have, $\frac{dA}{dt}=9\pi\text{ square meters per hour}, r = h = 3\text{ meters}$

$9\pi = 4\pi (3) \frac{dr}{dt}+2\pi (3)\frac{dr}{dt}$

$9\pi = (12\pi + 6\pi )\frac{dr}{dt}$

$9\pi = 18\pi \frac{dr}{dt}$

$\implies \frac{dr}{dt} =\frac{1}{2}\text{ meter per hour}$

Now,

Volume of a cylinder,

$V=\pi r^2 h$

Differentiating w. r. t. t,

$\frac{dV}{dt}=\pi ( r^2 \frac{dh}{dt}+h(2r)\frac{dr}{dt})=\pi ((3)(6) (\frac{1}{2})) = 9\pi \text{ cubic meters per hour}$

6 0

3 years ago

What is 35-14+27 i really need help pls anser fast

zhuklara [117]

Answer:

<em>B is the correct answer</em>, The first choice (which you chose) is the incorrect answer.

Step-by-step explanation:

6 0

2 years ago

Consider the function, f(x) = 3x - 3. Determine the asymptote for the function f(x).

Natali [406]

Answer:

Y= 1

Step-by-step explanation:

Given the expression f(x) = 3x - 3.

To solve for the asymptote y

Firstly we need to solve for x

3x-3=0

3x=3

x= 3/3

x=1

Hence the asymptote of the function y=1

5 0

3 years ago

Cheryl writes 7 fewer posts than Kevin on a social media site.

Agata [3.3K]

Um I have no idea what this is but good luck

5 0

2 years ago

Read 2 more answers